OF THE POINT, LINE, AND CIRCLE IN THE PLANE. By NATHAN F. DUPUIS, M.A., F.R.C.S., Professor of Mathematics in Queen's College, Kingston, Canada. 16mo. $1.10. FROM THE AUTHOR'S PREFACE. "The present work is a result of the author's experience in teaching geometry to junior classes in the University for a series of years. It is not an edition of 'Euclid's Elements,' and has in fact little relation to that celebrated ancient work except in the subject-matter. 66 An endeavor is made to connect geometry with algebraic forms and symbols: (1) by an elementary study of the modes of representative geometric ideas in the symbols of algebra; and (2) by determining the consequent geometric interpretation which is to be given to each interpretable algebraic form.... In the earlier parts of the work Constructive Geometry is separated from Descriptive Geometry, and short descriptions are given of the more important geometric drawing instruments, having special reference to the geometric principle of their actions.... Throughout the whole work modern terminology and modern processes have been used with the greatest freedom, regard being had in all cases to perspicuity. . . . "The whole intention in preparing the work has been to furnish the student with the kind of geometric knowledge which may enable him to take up most successfully the modern works on analytical geometry." "To this valuable work we previously directed special attention. The whole intention of the work is to prepare the student to take up successfully the modern works on analytical geometry. It is safe to say that a student will learn more of the science from this book in one year than he can learn from the old-fashioned translations of a certain ancient Greek treatise in two years. Every mathematical master should study this book in order to learn the logical method of presenting the subject to beginners." - Canada Educational Journal. MACMILLAN & CO., 66 FIFTH AVENUE, NEW YORK. |